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Updated: Jun 14, 2026

The Use of Chemostats in Microbial Systems Biology
Published on: October 14, 2013
A competition model of the chemostat with an external inhibitor
Jianquan Li1, Zuren Feng, Juan Zhang
1Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China and Systems Engineering Institute, Xi'an Jiaotong University, Xi'an 710049, China and Department of Applied Mathematics and Physics, Air Force Engineering University, Xi'an 710051, China. jianq_li@263.net.
Abstract:
A competition model of the chemostat with an external inhibitor is considered. This inhibitor is lethal to one competitor and results in the decrease of growth rate of this competitor. The existence and stability of the extinction equilibria are discussed by using Liapunov function. The necessary and sufficient condition guaranteeing the existence of the interior equilibrium is given. It is found by numerical simulation that the system may be globally stable or have a stable limit cycle if the interior equilibrium exists.
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